| 1. | Is that mr . clark ? this is liu wen speaking 是克拉克先生吗?我是刘文。 |
| 2. | Liu wen - jun , mi qian , qin jun - jun , fang yong and yang li - hong 刘文军弥谦秦君君方勇杨利红 |
| 3. | Liu wen cheng best classic collection cd , 24 beautiful music 刘文正04年经典真藏cd ,收录了24首超级好歌 |
| 4. | This is the tour guide liu wen 这位是导游刘文。 |
| 5. | Liu wen cheng classic songs 刘文正绝版经典 |
| 6. | Pfp legislator liu wen - hsiung asked if chairman ma was chickening out . if so , ma can come out and say it himself instead of letting his dogs do the biting 立委(亲)刘文雄:是不是马主席退缩了?是的话马主席也可以出来讲,不用放狗咬人。 |
| 7. | Later , professor liu wen studied the sequences of discrete random variables by combining the analytic technique with the approach of generating function and moment generating function and obtained a class of deviation theorems [ 10 ] ~ [ 121 后来,刘文教授把分析方法结合母函数和矩母函数的方法研究了离散型随机变量,得到了一类强偏差定理。 |
| 8. | Markov chains are special random process . renently , professor liu wen , who first invented the analysis method in solving large number theory , connected it and markov chains and got some limit properties about one - order markov chains 刘文教授在大数定律的研究中把首创的分析方法和马氏链结合起来,得出一系列有关一重马氏链的极限结果,本论文继续并拓广这方面的研究,相应于一重马氏链,二重马氏链也有其相应的极限性质。 |
| 9. | Professor liu wen , who first invented analysis method in solving large number theorem , connected it with moment generating functions , conditional moment generating functions and differentiation of measures on a net , and some strong limit theorems are obtained . this paper continue to study and expand these results 刘文教授在解决大数定律中把首创的分析方法和矩母函数、条件矩母函数以及测度的网微分法结合起来,得出一系列极限结果,本论文继续并拓广这方面的研究。 |
| 10. | The strong deviation theorems are new type theorems established by using the notion of the likelihood ratio . professor liu wen frist applied an analysis method in solving a class of strong deviation theorems for a sequense of random variables . later professor liu wen studied the shannon - mcmillan theorem in information theorems [ 2 ] - [ 8 ] and deviation theorems of non - negative continuous random variables [ 10 ] - [ 11 ] by using the analytic technique and obtained some strong deviation theorems . the chapter 2 of the paper studied a class of strong deviation theorems of function of two variables of information sources and obtained a further study of shannon - mcmillan theorem of markov information sourses by definning the using concept of entropy density divergence . the chapter 3 of the paper studied a class of strong deviation theorems of non - negative continuous random variables by using tool of transformation of laplace . information theory , as a branch of applied probability theory , becomes more and more important in appling 刘文教授在解决大数定律中,用首创的分析方法得到一类随机变量序列的强偏差定理。后来,刘文教授把分析方法用于信息论中shannon - mcmillan定理和连续型随机变量的偏差定理的研究,得到了若干强偏差定理。本文的第二章是引进任意信源相对熵密度偏差的概念,并利用这个概念研究任意信源二元函数的一类强偏差定理,得到了马氏信源shannon - mcmillan定理的一个推广。 |